**Cartesian Grid Methods for Fluid Flow in Complex Geometries,
**

by R. J. LeVeque and D. Calhoun,
Appears in "Computational Modeling in Biological Fluid Dynamics", (L. J.
Fauci and S. Gueron, eds.) IMA Volumes in Mathematics and its Applications
124, pp. 117-143, Springer-Verlag, 2001.
(Proceedings of an

IMA Workshop
January, 1999.)

**Abstract.**
Biological fluid dynamics typically involves geometrically complicated
structures which are often deforming in time.
We give a brief overview of some approaches based on using fixed Cartesian
grids instead of attempting to use a grid which conforms to the boundary.
Both finite-difference and finite-volume methods are discussed, as well as a
combined approach which has recently been used for computing incompressible
flow using the streamfunction-vorticity formulation of the incompressible
Navier-Stokes equations.

Preprint: rjl-dcima99.ps.gz ... rjl-dcima99.pdf

**bibtex entry:**

@InProceedings{dc-rjl:ima99,

author = "R. J. LeVeque and D. Calhoun",

title = "Cartesian Grid Methods for Fluid Flow in Complex
Geometries",

booktitle = "Computational Modeling in Biological Fluid
Dynamics",

editor = "L. J. Fauci and S. Gueron",

series = "IMA Volumes in Mathematics and its Applications",

volume = "124",

publisher = "Springer-Verlag",

pages = "117--143",

year = "2001",

}